In this work we investigate an SU(3) extension of the axially symmetricB=2chiral quark soliton model. The classical soliton is extended to the SU(3) by trivial embedding. We expand the quark determinant in terms of the collective angular velocity up to the second order as well as in the quark mass difference of the first order. The diagonalization of the collective SU(3) hamiltonian is estimated by the method of Yabu-Ando. Finally the mass spectrum and the binding energy of the baryon-baryon channels down to strangenessS=−6are obtained. Absolute mass are considerably larger than the values of experimental candidates because of the absence of all Casimir effects. The results suggest the possibility of several bound states especially for lower strangeness. ©2001 American Institute of Physics.